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We study a model of hard-core bosons with short-range repulsive interactionsat half-filling on the kagome lattice. Using quantum Monte Carlo (QMC)numerics, we find that this model shows a continuous superfluid to insulatorquantum phase transition, with exponents $z=1$ and $\nu\approx 0.67(5)$. Theinsulator, $\cI^*$, exhibits short-ranged density and bond correlations,topological order and exponentially decaying spatial vison correlations, all ofwhich point to a $Z_2$ fractionalized phase. We estimate the vison gap in$\cI^*$ from the temperature dependence of the energy. Our results, togetherwith the equivalence between hard-core bosons and $S=1/2$ spins, providecompelling evidence for a spin-liquid phase in an easy-axis spin-1/2 model withno special conservation laws.Comment: 4 pages, 6 figures, published versio

physical review letters

Spin-Liquid Phase in a Spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:math>Quantum Magnet on the Kagome Lattice

Spin-Liquid Phase in a Spin-1/2Quantum Magnet on the Kagome Lattice